Quintile comma: Difference between revisions

m FloraC moved page Pental comma to Quintile comma: Implement the community-anticipated rename
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The '''quintile comma''' ({{monzo|legend=1| -28 25 -5 }}, [[ratio]]: 847 288 609 443 / 838 860 800 000) is a [[small comma|small]] [[5-limit]] [[comma]] of about 17.306 [[cent]]s.  
The '''quintile comma''' ({{monzo|legend=1| -28 25 -5 }}, [[ratio]]: 847 288 609 443 / 838 860 800 000) is a [[small comma|small]] [[5-limit]] [[comma]] of about 17.306 [[cent]]s. It is the amount by which a stack of five grave fourths of [[320/243]] falls short of two [[octave]]s, or the amount by which a stack of five acute fifths of [[243/160]] exceeds three octaves. It is also the amount by which a stack of five [[81/80|syntonic commas]] exceed a [[256/243|Pythagorean limma]].  


== Temperaments ==
Tempering out this comma leads to the [[quintile family]] of temperaments.
Tempering out this comma leads to the [[quintile family]] of temperaments.


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[[Category:Commas named for their periods per equave]]
[[Category:Commas named for their periods per equave]]